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# In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, an

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, an  [#permalink]

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25 Sep 2018, 05:02
00:00

Difficulty:

15% (low)

Question Stats:

96% (02:28) correct 4% (04:50) wrong based on 34 sessions

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In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, and (4/7)th of the Barbies were purchased before the age of 10. If 90 dolls in Ghazal’s collection are Barbies that were purchased at the age of 10 or later, how many dolls in her collection are non-Barbie dolls?

(A) 70
(B) 90
(C) 140
(D) 154
(E) 192

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Manager
Joined: 14 Jun 2018
Posts: 219
In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, an  [#permalink]

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25 Sep 2018, 10:21
Pick a number which is which is a lcm of 5 and 7 to make the calculation easier.
Let the total be 35k.
barbie = 3/5 * 35k = 21k ; Non Barbie = 14k

Out of 21k , 4/7 purchased below age of 10 = 12k.
Therefore , 9k > age of 10.
Given , 9k = 90 ; k = 10

Total non barbie doll = 14k = 140
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Manager
Joined: 07 Aug 2018
Posts: 108
Location: United States (MA)
GMAT 1: 560 Q39 V28
GMAT 2: 670 Q48 V34
In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, an  [#permalink]

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26 Sep 2018, 10:09
1
Most important thing here is to get an overview of the quantities!
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In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, an   [#permalink] 26 Sep 2018, 10:09
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